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Simplifying 3(x + 1) + -5 = 6x + 17 Reorder the terms: 3(1 + x) + -5 = 6x + 17 (1 * 3 + x * 3) + -5 = 6x + 17 (3 + 3x) + -5 = 6x + 17 Reorder the terms: 3 + -5 + 3x = 6x + 17 Combine like terms: 3 + -5 = -2 -2 + 3x = 6x + 17 Reorder the terms: -2 + 3x = 17 + 6x Solving -2 + 3x = 17 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -2 + 3x + -6x = 17 + 6x + -6x Combine like terms: 3x + -6x = -3x -2 + -3x = 17 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + -3x = 17 + 0 -2 + -3x = 17 Add '2' to each side of the equation. -2 + 2 + -3x = 17 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = 17 + 2 -3x = 17 + 2 Combine like terms: 17 + 2 = 19 -3x = 19 Divide each side by '-3'. x = -6.333333333 Simplifying x = -6.333333333
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